687455369568 has 480 divisors, whose sum is σ = 2290837127040. Its totient is φ = 200414269440.

The previous prime is 687455369563. The next prime is 687455369591. The reversal of 687455369568 is 865963554786.

687455369568 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 5 + 53 + 6 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 687455369496 and 687455369505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687455369563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82138888 + ... + 82147256.

It is an arithmetic number, because the mean of its divisors is an integer number (4772577348).

Almost surely, 2^687455369568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687455369568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145418563520).

687455369568 is an abundant number, since it is smaller than the sum of its proper divisors (1603381757472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687455369568 is a wasteful number, since it uses less digits than its factorization.

687455369568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8495 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 687455369568 in words is "six hundred eighty-seven billion, four hundred fifty-five million, three hundred sixty-nine thousand, five hundred sixty-eight".